This paper applies techniques from algebraic and differential geometry to determine how to
best pack points in real projective spaces. We present a computer-assisted proof of the …

In this paper, we study (G, α)-frames for finite dimensional Hilbert spaces, where G is a finite
group and α is a unitary Schur multiplier of G. We apply the characterizations for tight (G, α) …

A frame $(x_j) _ {j\in J} $ for a Hilbert space $ H $ allows for a linear and stable
reconstruction of any vector $ x\in H $ from the linear measurements $(\langle x, x_j\rangle) …

We investigate how Legendre G‐array pairs are related to several different perfect binary G‐
array families. In particular we study the relations between Legendre G‐array pairs …

We study tight projective 2‐designs in three different settings. In the complex setting,
Zauner's conjecture predicts the existence of a tight projective 2‐design in every dimension …

A generalization of highly symmetric frames is presented by considering also projective
stabilizers of frame vectors. This allows construction of highly symmetric line systems and …

An equiangular tight frame (ETF) is a sequence of vectors in a Hilbert space that achieves
equality in the Welch bound and so has minimal coherence. More generally, an equichordal …